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148
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COMPGEOM
2010
ACM
15 years 11 months ago
Output-sensitive algorithm for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n cellularly embedded in a surface (orientable or not) of genus g. We describe improved algorithms to compute (the length of) a shortest...
Sergio Cabello, Éric Colin de Verdiè...
CGA
2008
15 years 6 months ago
ScrewBender: Smoothing Piecewise Helical Motions
An ordered series of control poses may be interpolated by a polyscrew (piecewise helical) rigid body motion composed of a series of screws, each interpolating a pair of consecutiv...
Alexander Powell, Jarek Rossignac
141
Voted
DGCI
2009
Springer
16 years 21 days ago
A Novel Algorithm for Distance Transformation on Irregular Isothetic Grids
In this report, we propose a new definition of the E2 DT (Squared Euclidean Distance Transformation) on irregular isothetic grids. We describe a new separable algorithm to compute...
Antoine Vacavant, David Coeurjolly, Laure Tougne
COMPGEOM
2003
ACM
15 years 11 months ago
Morse-smale complexes for piecewise linear 3-manifolds
We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its ...
Herbert Edelsbrunner, John Harer, Vijay Natarajan,...
COMPGEOM
2010
ACM
15 years 11 months ago
Better bounds on the union complexity of locally fat objects
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
Mark de Berg
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